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Finding the Fourth Proportional to 286,565.20, 429,847.80 and 144,847.60

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Solution

The fourth proportional to 286,565.20, 429,847.80 and 144,847.60 is: 217,271.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,565.20 : 429,847.80 = 144,847.60 : x
  2. Step 2: Convert to fraction form
    286,565.20/429,847.80 = 144,847.60/x
  3. Step 3: Cross multiply
    286,565.20x = 429,847.80 × 144,847.60
  4. Step 4: Simplify right side
    286,565.20x = 62,262,422,195.28
  5. Step 5: Solve for x
    x = 62,262,422,195.28/286,565.20
  6. Step 6: Final answer
    x = 217,271.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.